English

Exploration of stable and unstable vortex patterns in a superconductor under a magnetic disc

Superconductivity 2016-08-11 v1 Pattern Formation and Solitons

Abstract

The stable and unstable solutions of a square 2D extreme type-II superconductor are studied in the field of a magnetic disc. We use a preconditioned Newton-Krylov solver to find the solutions and use numerical continuation to track the solutions as the field strength varies. For a disc with a small radius, we have identified generic scenarios through which the state loses and regains its stability.

Keywords

Cite

@article{arxiv.1304.8081,
  title  = {Exploration of stable and unstable vortex patterns in a superconductor under a magnetic disc},
  author = {N. Schlömer and M. V. Miloševıć and Bart Partoens and Wim Vanroose},
  journal= {arXiv preprint arXiv:1304.8081},
  year   = {2016}
}